Some Results of Frames in Krein Spaces
Author(s):
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In recently years, frames in Krein spaces had been considered. The paper presents a family of generators for a Krein space by their frames. These generators are dual frames and operator dual frames corresponding to a given frame in a Krein space. We characterize all generalized dual frames of a primary frame. Also, approximately dual frames in a Krein space are introduced and, we study the relation between approximately dual frames and operator duals in a Krein space. Finally, perturbation of frames in this space is considered.
Keywords:
Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:10 Issue: 1, Winter and Spring 2021
Pages:
53 to 67
https://www.magiran.com/p2283367